A classical example of chaos

In this project a chaotic double pendulum system is analysed. First, the equations of motion for the system is found and numerically integrated to conclude chaotic behaviour. An experiment is then conducted, finding that the lab system exhibited chaotic behaviour. Furthermore, a linear model for small oscillations of the system is developed, and theoretical values for the eigenmode frequencies produced. An experiment is then conducted to find these frequencies. The experiment and the theory agreed on the mean-valued frequencies 0.86 Hz and 0.65 Hz.